Random coverage of the circle and asymptotic distributions
- 1 September 1982
- journal article
- research article
- Published by Cambridge University Press (CUP) in Journal of Applied Probability
- Vol. 19 (03) , 578-587
- https://doi.org/10.1017/s0021900200037062
Abstract
Place n arcs of equal length an uniformly at random on the circumference of a circle. We discuss the limiting distributions of the number of gaps, the length of the maximum gap and the uncovered proportion of the circle, depending on the asymptotic behaviour of an → 0.Keywords
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